/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 262 In the following exercises, dete... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 12: Q. 262 (page 1218)

In the following exercises, determine if each sequence is arithmetic, and if so, indicate the common difference.

13,9,5,1,鈭�3,鈭�7,.....

Short Answer

Expert verified

The sequence 13,9,5,1,鈭�3,鈭�7,.....is arithmetic with common difference -4.

Step by step solution

01

Step 1. Given information

The sequence is 13,9,5,1,鈭�3,鈭�7,......

We have to determine if this sequence is arithmetic, and if so, we have to indicate the common difference.

02

Step 2. Find the difference between the consecutive terms

Find the difference between each term and its preceding term.

9-13=-45-9=-41-5=-4-3-1=-4-7-(-3)=-4

03

Step 3. Check if the difference is constant

Since the difference is found to be constant, this sequence is arithmetic.

This constant difference is called the common difference.

Therefore, the common difference is -4.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

In the following exercises, expand each binomial.

(x+y)3

Find the eighteenth term of a sequence where the fifth term is 12 and the common difference is seven.

Find a general term for the sequence whose first five terms are shown. 4, 8, 12, 16, 20, 鈥�

Write the first five terms of the sequence whose general term isan=鈭�1n+1n3

Find the sum.

鈭�6i=1152i
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Discrete Mathematics

Read Explanation

Calculus

Read Explanation

Geometry

Read Explanation

Pure Maths

Read Explanation

Mechanics Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.